Existence and uniqueness of solutions of nonlinear infinite systems of parabolic differential-functional equations

• Autorzy: Stanisław Brzychczy
• Języki publikacji: EN

Abstrakty

EN

We consider the Fourier first initial-boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations of parabolic type. The right-hand sides of the system are functionals of unknown functions. The existence and uniqueness of the solution are proved by the Banach fixed point theorem.

Kategorie tematyczne

• 35K57: Reaction-diffusion equations
• 35R10: Partial functional-differential equations
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2001
• Tom: 77
• Numer: 1
• Strony: 1-9

Daty

wydano

2001

Twórcy

autor

Stanisław Brzychczy

• Faculty of Applied Mathematics, University of Mining and Metallurgy, Al. Mickiewicza 30, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap77-1-1